12821478768 has 480 divisors, whose sum is σ = 45800640000. Its totient is φ = 3413975040.

The previous prime is 12821478743. The next prime is 12821478781. The reversal of 12821478768 is 86787412821.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28555408 + ... + 28555856.

It is an arithmetic number, because the mean of its divisors is an integer number (95418000).

Almost surely, 2^12821478768 is an apocalyptic number.

12821478768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12821478768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900320000).

12821478768 is an abundant number, since it is smaller than the sum of its proper divisors (32979161232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12821478768 is a wasteful number, since it uses less digits than its factorization.

12821478768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 12821478768 in words is "twelve billion, eight hundred twenty-one million, four hundred seventy-eight thousand, seven hundred sixty-eight".